Deformation of thin flexible elastic wire in pure bending & twisting

A constant section long slender wire made of linear elastic high elongation material like fiberglass has ( flexural, torsional ) properties/rigidities ( EI, GJ ).It develops (flexural,torsional) curvatures (m, t) = ( M/EI, T/GJ ) on application of moments ( M,T ) as per ( Euler-Bernoulli, St.Venant?) Laws.

Is it correct to say that this wire deforms to a helix of parameterization: (x, y, z) = ( m cos(th), m sin(th), t * th ) / (m^2 + t^2) ?

If correct, has it been verified as a standard geometric non-linear problem by FEM?

Best Regards, Narasimham

( could not X post the same post yesterday along with sci.math )

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